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Abstract structure with colored elements
In mathematics, a colored matroid is a matroid whose elements are labeled from a set of colors, which can be any set that suits the purpose, for instance
Colored_matroid
Largest independent set of paired elements
combinatorial optimization, the matroid parity problem is a problem of finding the largest independent set of paired elements in a matroid, a structure that abstracts
Matroid_parity_problem
On rearrangement of bases in matroids
In linear algebra and matroid theory, Rota's basis conjecture is an unproven conjecture concerning rearrangements of bases, named after Gian-Carlo Rota
Rota's_basis_conjecture
Graph with sign-labeled edges
and negative. The matroid of a sign-colored graph is the cycle matroid of the underlying graph; it is not the frame or lift matroid of the signed graph
Signed_graph
Direct sum of uniform matroids
In mathematics, a partition matroid or partitional matroid is a matroid that is a direct sum of uniform matroids. It is defined over a base set in which
Partition_matroid
Existence of a line through two points
oriented matroid with n {\displaystyle n} elements has at least 3 n / 7 {\displaystyle 3n/7} two-point lines, or equivalently every rank-3 matroid with fewer
Sylvester–Gallai_theorem
Sequence of locally optimal choices
to solve a class of linear combinatorial optimization problems with a matroid structure. Later Bernhard Korte and László Lovász characterized a broader
Greedy_algorithm
Mathematical ways to group elements of a set
geometric lattices and matroids, this lattice of partitions of a finite set corresponds to a matroid in which the base set of the matroid consists of the atoms
Partition_of_a_set
Graph divided into two independent sets
of bipartiteness to hypergraphs. Bipartite matroid, a class of matroids that includes the graphic matroids of bipartite graphs Bipartite network projection
Bipartite_graph
Pencil and paper connection game
the Shannon switching game played on a directed graph and an oriented matroid have been described for theoretical purposes; but no corresponding commercial
Shannon_switching_game
Assignment of colors to edges of a graph
Westermann, Herbert H. (1992), "Forests, frames, and games: algorithms for matroid sums and applications", Algorithmica, 7 (5–6): 465–497, doi:10.1007/BF01758774
Edge_coloring
into the Matroid and mechas' colliding attacks, which causes a time warp that sends Alata and Bakutofuji-ER back in time and shrinks the Matroid. They eventually
List of Tensou Sentai Goseiger characters
List_of_Tensou_Sentai_Goseiger_characters
Abstract strategy board game
mathematical underpinnings related to the Brouwer fixed-point theorem, matroids and graph connectivity. Hex is a finite, two-player perfect information
Hex_(board_game)
On forbidden minors in planar graphs
configurations) appear in a characterization of the graphic matroids by forbidden matroid minors. Wagner, K. (1937), "Über eine Eigenschaft der ebenen
Wagner's_theorem
the graphic matroid of a graph, a subset of edges is independent if the corresponding subgraph is a tree or forest. In the bicircular matroid, a subset
Glossary_of_graph_theory
Annual conference series on algorithms
Marc Roth: Counting restricted homomorphisms via Möbius inversion over matroid lattice 2016 Stefan Kratsch: A randomized polynomial kernelization for
European Symposium on Algorithms
European_Symposium_on_Algorithms
1961. Elsevier. ISBN 9781483223568. Kazuo Murota (2009). Matrices and Matroids for Systems Analysis. Springer Science & Business Media. p. 47. ISBN 9783642039942
Flow_graph_(mathematics)
minimums of finite collections of polynomials. Rota's basis conjecture: for matroids of rank n {\displaystyle n} with n {\displaystyle n} disjoint bases B i
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Element of graph theory
ISBN 978-0-521-59840-8, MR 1477750. Las Vergnas, Michel (1980), "Convexity in oriented matroids", Journal of Combinatorial Theory, Series B, 29 (2): 231–243, doi:10
Acyclic_orientation
Russian-British mathematician
first to recognize the importance of transversal matroids, and he showed that transversal matroids can be represented using linear algebra over transcendental
Leon_Mirsky
Subgraph with contracted edges
graph H. Graph minors are often studied in the more general context of matroid minors. In this context, it is common to assume that all graphs are connected
Graph_minor
Embedding a graph in 3D space with no cycles interlinked
D. thesis, University of California, Berkeley. Truemper, Klaus (1992), Matroid Decomposition (PDF), Academic Press, pp. 100–101, archived from the original
Linkless_embedding
Geometric system of two mutually inscribed tetrahedra
the two configurations, including the fact that both are self-dual under Matroid duality. In abstract terms, the latter configuration has "points" 0, .
Möbius_configuration
Generalization of graph theory
abstract simplicial complex with the augmentation property is called a matroid. Laminar: for any two hyperedges, either they are disjoint, or one is included
Hypergraph
Problem of finding the longest simple path for a given graph
ISBN 9780262032933. Lawler, Eugene L. (2001), Combinatorial Optimization: Networks and Matroids, Courier Dover Publications, p. 64, ISBN 9780486414539. Sedgewick, Robert;
Longest_path_problem
Independent set which is not a subset of any other independent set
mathematical structures other than graphs, and in particular in vector spaces and matroids. Two algorithmic problems are associated with MISs: finding a single MIS
Maximal_independent_set
Model in statistical mechanics generalizing the Ising model
"The multivariate Tutte polynomial (alias Potts model) for graphs and matroids". Surveys in Combinatorics 2005. pp. 173–226. arXiv:math/0503607. doi:10
Potts_model
Type of graph in graph theory
"Exponentially many hypohamiltonian graphs", Graphs, Hypergraphs and Matroids III (Proc. Conf. Kalsk 1988), Zielona Góra: Higher College of Engineering
Hypohamiltonian_graph
Graph which can be made planar by removing a single node
147, American Mathematical Society, pp. 125–136. Truemper, Klaus (1992), Matroid Decomposition (PDF), Academic Press, pp. 100–101, archived from the original
Apex_graph
affine Gale diagrams can also be described through the duality of oriented matroids. As with the linear diagram, a subset of vertices forms a face if and only
Gale_diagram
Generalizations in graph theory
Thomas; Zhang, Yihao (2019-12-23), "A Tale of Santa Claus, Hypergraphs and Matroids", Proceedings of the 2020 ACM-SIAM Symposium on Discrete Algorithms, Proceedings
Hall-type theorems for hypergraphs
Hall-type_theorems_for_hypergraphs
COLORED MATROID
COLORED MATROID
Boy/Male
Hindu, Indian, Marathi
Dark Colored
Boy/Male
English
Ruddy colored.
Girl/Female
Arabic, Muslim
Ash Colored
Girl/Female
Assamese, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Coloured
Boy/Male
Indian
Coloured
Girl/Female
French
Flesh - colored.
Surname or Lastname
English
English : habitational name from either of two places called Coleford, in Somerset and Gloucestershire, which are named with Old English col ‘(char)coal’ + ford ‘ford’.
Boy/Male
English American
Military rank.
Girl/Female
Spanish American
Sorrow. From Maria de los Dolores (the Virgin Mary, or Mary of the Sorrows.).
Girl/Female
Hindu
Colored
Boy/Male
British, English
Ruddy Colored
Boy/Male
Hindu, Indian, Marathi
Colored; Ruby
Girl/Female
Gujarati, Hindu, Indian
Red Colored
Boy/Male
Indian
White-colored
Girl/Female
American, Christian, Danish, German, Indian, Italian, Latin, Spanish, Swedish
From the Virgin Mary
Girl/Female
Muslim
Ash-colored
Boy/Male
English
Ruddy colored.
Boy/Male
Muslim
White-colored
Girl/Female
Tamil
Colored
Boy/Male
American, British, English
Dove
COLORED MATROID
COLORED MATROID
Girl/Female
Irish
From rionach meaning “queenly.†In legend Rionach was the wife of “Niall of the Nine Hostages†(read the legend) and as such is the maternal ancestor of many of the great Irish family dynasties.
Girl/Female
British, English
From the West
Boy/Male
British, Christian, English
Noble Ruler
Boy/Male
Indian, Kannada, Oriya
King; Ruler
Male
African
God is victor.
Male
Egyptian
, star of the divine father.
Girl/Female
Tamil
A bird enamored of the Moon
Girl/Female
English American French Latin
Lord.
Boy/Male
Australian, Latin, Spanish
Lively
Boy/Male
Arabic, British, Indonesian
Divine
COLORED MATROID
COLORED MATROID
COLORED MATROID
COLORED MATROID
COLORED MATROID
n.
That which is used to give color; a paint; a pigment; as, oil colors or water colors.
a.
Alt. of Parti-colored
a.
Of two colors.
a.
Having the color of a pink rose; rose-pink; of a delicate pink color.
a.
Of the color of cream; light yellow.
a.
Of some other color than black or white.
a.
Of some other color than green.
a.
Colored with different tints; variegated; as, a party-colored flower.
a.
White, with spots of black, bay, or sorrel; as, a trout-colored horse.
a.
Of some other color than white; specifically applied to negroes or persons having negro blood; as, a colored man; the colored people.
pl.
of Colure
a.
Vivid; strong or forcible in representation; hence, exaggerated; as, high-colored description.
a.
Having color; tinged; dyed; painted; stained.
a.
Being of a straw color. See Straw color, under Straw, n.
a.
Uncommonly beautiful; hence, extravagantly fine or pleasing; alluring; as, rose-colored anticipations.
a.
Variegated in color; consisting of different colors; dappled; party-colored; as, a motley coat.
a.
Of the color of flame; of a bright orange yellow color.
imp. & p. p.
of Color
a.
Specious; plausible; adorned so as to appear well; as, a highly colored description.
a.
Of the color of a peach blossom.